As per the question the initial velocity of object [u]=2 m/s
The acceleration of the particle [tex]a=\ 3\ m/s^2[/tex]
The time is [t]= 8 seconds.
We are asked to calculate the distance travelled by the particle in that time.
As per equation of kinematics we know that-
[tex]s\ =\ ut+\frac{1}{2} at^2[/tex]
Here s is the distance travelled by the object.
[tex]=2*8+\frac{1}{2} 3*[8]^2\ m[/tex]
[tex]= 16\ m+96\ m[/tex]
[tex]=112\ m[/tex] [ans]